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5(x-2)=7(x+2)
We move all terms to the left:
5(x-2)-(7(x+2))=0
We multiply parentheses
5x-(7(x+2))-10=0
We calculate terms in parentheses: -(7(x+2)), so:We get rid of parentheses
7(x+2)
We multiply parentheses
7x+14
Back to the equation:
-(7x+14)
5x-7x-14-10=0
We add all the numbers together, and all the variables
-2x-24=0
We move all terms containing x to the left, all other terms to the right
-2x=24
x=24/-2
x=-12
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